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Finding the Fourth Proportional to 1,542.45, 2,314.61 and 617.88

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Solution

The fourth proportional to 1,542.45, 2,314.61 and 617.88 is: 927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.45 : 2,314.61 = 617.88 : x
  2. Step 2: Convert to fraction form
    1,542.45/2,314.61 = 617.88/x
  3. Step 3: Cross multiply
    1,542.45x = 2,314.61 × 617.88
  4. Step 4: Simplify right side
    1,542.45x = 1,430,151.23
  5. Step 5: Solve for x
    x = 1,430,151.23/1,542.45
  6. Step 6: Final answer
    x = 927.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.